Analogues of Ramanujan's partition identities and congruences arising from his theta functions and modular equations

被引：42

作者：

Baruah, Nayandeep Deka ^{[1
]}

Ojah, Kanan Kumari ^{[1
]}

机构：

[1] Tezpur Univ, Dept Math Sci, Sonitpur 784028, India

来源：

RAMANUJAN JOURNAL | 2012年 / 28卷 / 03期

关键词：

Theta functions; Modular equations; Partitions; Partition congruences; CUBIC CONTINUED-FRACTION; CONJECTURE; PROOF;

D O I：

10.1007/s11139-011-9296-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the partition function defined by and prove some analogues of Ramanujan's partition identities. We also deduce some interesting partition congruences.

引用

页码：385 / 407

页数：23

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